If U={1,2,3,4,5,6,7}, A={1,2,5,7}, B={1,3,6,7}. Find: A'

Answer

To find A', we first need to understand what A' represents. A' is the complement of set A with respect to the universal set U. This means we are looking for all the elements in U that are not in A. 1. **Identify the Universal Set (U)**: U = {1, 2, 3, 4, 5, 6, 7} 2. **Identify Set A**: A = {1, 2, 5, 7} 3. **Finding the Complement of A (A')**: - A' will include all elements from U that are not in A. - Elements in U are: 1, 2, 3, 4, 5, 6, 7 - Elements in A are: 1, 2, 5, 7 - Thus, the elements that are not in A are: 3, 4, 6 4. **Write the Result**: So, A' = {3, 4, 6} In conclusion, the complement of set A with respect to the universal set U is A' = {3, 4, 6}.